cross multiplication

Diagonal fraction method

Cross multiplication is a method for solving equations with fractions by multiplying each numerator by the opposite denominator.

If a/b = c/d, you multiply a × d and b × c, then set them equal: Cross multiply to get 3x = 24, so x = 8.

The technique works because you're multiplying both sides by both denominators simultaneously.

Opposites
mathematical operation type

cross multiplicationdivision

Splitting into parts

factoring · simplification · subtraction · addition

equation-solving approach

cross multiplicationsubstitution

Exchange of one for another

inverse operations

Family

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Known to kids · Used worldwide · Timeless · Rated G